Greatest Common Factor of 9984/536, 4618/5763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9984/536, 4618/5763

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 9984/536,4618/5763

Given fractions are 9984/536,4618/5763

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9984,4618

Greatest Common Factor of Numerators i.e. GCF of 9984,4618 is 2 .

LCM of Denominators means LCM of 536,5763 as per the given fractions.

LCM of 536,5763 is 3088968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9984,4618

GCF of Fractions 9984/536,4618/5763 is 2/3088968

2 9984, 4618
4992, 2309

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9984,4618 By Matching Biggest Common Factor Method

Greatest Common Factor of 9984,4618 By Matching Biggest Common Factor Method

Factors of 9984

List of positive integer factors of 9984 that divides 9984 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,256,312,384,416,624,768,832,1248,1664,2496,3328,4992,9984

Factors of 4618

List of positive integer factors of 4618 that divides 4618 without a remainder.

1,2,2309,4618

Greatest Common Factor

We found the factors 9984,4618 . The biggest common factor number is the GCF number.
So the greatest common factor 9984,4618 is 2.

Lets's calculate LCM of 536,5763

Given numbers has no common factors except 1. So, there LCM is their product i.e 3088968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3088968

Therefore, the GCF of Fractions 9984/536,4618/5763 is 2/3088968

Least Common Multiple of 536,5763 with GCF Formula

Least Common Multiple of 536,5763 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 536,5763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,5763) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(536,5763) x common factors =1 x 1 = 1

LCM(536,5763) = ( 536 × 5763 ) / 1

LCM(536,5763) = 3088968 / 1

LCM(536,5763) = 3088968


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9984/536, 4618/5763

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 9984/536, 4618/5763?

Answer: GCF of Numerators as per given numbers 9984/536, 4618/5763 is

GCF of Numerators i.e. for 9984,4618 is 2

LCM of denominators i.e. for 536,5763 is 3088968.

Thus, GCF of Fractions is 2/3088968.Finally, GCF of Fractions for 9984/536, 4618/5763 is 2/3088968.